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GCF of 724/54, 809/9498

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 724/54, 809/9498 i.e 1/85482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/54, 809/9498.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 724/54,809/9498?

Given fractions are 724/54,809/9498

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 724/54,809/9498, numerators are 724,809

Denominators are 54,9498

The GCF of 724,809 is 1 .

LCM of 54,9498 is 85482.

The greatest common factor of 724/54,809/9498 = [GCF of 724,809]/[LCM of 54,9498]= 1/85482

Therefore, the GCF of 724/54,809/9498 is 1/85482.

Greatest Common Factor of 724,809

To find the highest common factor of 724,809, we have to find the factors of both numbers and list the highest common factor.

The factors of 724 are 1, 2, 4, 181, 362, 724

The factors of 809 are 1, 809

The HCF of 724,809 is 1.

Lets's calculate GCF of 724,809

Greatest Common Factor (GCF) of 724,809 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 724,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,809 By Matching Biggest Common Factor Method

Now, list down the factors of 724

:

1,2,4,181,362,724

Now, list down the factors of 809

:

1,809

Greatest Common Factor

We found the factors 724,809 . The biggest common factor number is the GCF number.
So the greatest common factor 724,809 is 1.

Lets's calculate LCM of 54,9498

Lowest Common Multiple of 54,9498 using Common Division

2 54, 9498
3 27, 4749
9, 1583

∴ So the LCM of the given numbers is 2 x 3 x 9 x 1583 = 85482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85482

Therefore, the GCF of Fractions 724/54,809/9498 is 1/85482

Least Common Multiple of 54,9498 with GCF Formula

Least Common Multiple of 54,9498 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,9498) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(54,9498) x common factors =6 x 1 = 6

LCM(54,9498) = ( 54 × 9498 ) / 6

LCM(54,9498) = 512892 / 6

LCM(54,9498) = 85482


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FAQs on GCF of Fractions of 724/54, 809/9498

1. What is the HCF of 724,809?

The HCF of 724,809 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 724/54, 809/9498?

Answer: GCF of Numerators as per given numbers 724/54, 809/9498 is

GCF of Numerators i.e. for 724,809 is 1

LCM of denominators i.e. for 54,9498 is 85482.

Thus, GCF of Fractions is 1/85482.Finally, GCF of Fractions for 724/54, 809/9498 is 1/85482.